© | Dror Bar-Natan: Academic Pensieve: Blackboard Shots: Random

Blackboard Shots with Prefix "Frohlich"


221207-124214: Long rotational virtual knots.

221130-123024: Fixing framings.

220805-123801: Co-invariants marathon (3).

220805-104100: Co-invariants marathon (2).

220805-092810: Co-invariants marathon.

210917-153555: Traces and rotational virtual tangles.

200714-145937: Proofs of the Weyl commutation relations (2).

200714-145936: Proofs of the Weyl commutation relations.

200708-160203: Are traces trascendental?

200702-161027: The Halacheva trace.

200626-160403: Partial traces.

200612-154042: Minor identities and Plucker coordinates.

200601-170137: Alexander Half Density and palindromicity.

200507-172501: Planar algebras and planar graphs (2).

200507-172500: Planar algebras and planar graphs.

200504-165430: Circle packings, Riemann mappings, and badly drawing knots.

200429-124522: Braid-like and cyclic R-moves.

200424-160332: Random.

200422-151530: Yarn balls and complexity.

200319-171019: Conversion between the BV trace and the H trace (2).

200319-171018: Conversion between the BV trace and the H trace.

200310-182912: The relation between DoPeGDO and $\Gamma$.

200310-182911: Linking numbers and traces.

200305-170258: Setting up the trace equations.

200226-121732: Supervisory meeting.

200211-120341: Co-invariants and traces (2).

200205-142821: Co-invariants and traces.

200128-213110: Finding the $PR^4$ syzygies (3).

200127-113252: Finding the $PR^4$ syzygies (2).

200122-115708: Finding the $PR^4$ syzygies.

200122-115707: Computing $PR^4$ homology.

200108-121826: The full $PR^4$ complex.

191216-160951: The $PR^4$ complex.

191128-145026: The meaning of the pairing.

191121-154157: Iteratively solving for R.

191121-145358: The generating function of symmetrization.

191105-110219: Compositions, PBW.

191022-185648: Translation invariance for pairings.

191007-203946: Proof of zipping lemma 1 (4).

191001-190637: Proof of zipping lemma 1 (3).

190924-184308: Proof of zipping lemma 1 (2).

190917-190643: Proof of zipping lemma 1.

190910-191203: Gluing and connectivity.

190910-180037: Compositions in GDO (3).

190908-190721: Compositions in GDO (2).

190902-193208: Compositions in GDO.

190829-142913: $\langle y^n,x^n\rangle$.

190826-143803: Computing pairings.

190816-145628: ${\mathbb A}_\epsilon$ (2).

190816-141202: ${\mathbb A}_\epsilon$.

190710-124004: The identity is invariant.

190627-165736: Pairings and quantization.

190621-165420: The co-invariants of D(II) (2).

190621-163217: The co-invariants of D(II).

190613-161120: uvw and diagrams.

190613-153245: More on co-invariants (2).

190610-160644: More on co-invariants.

190606-161910: $sl_{2+}^\epsilon$ has a 3D rep.

190523-155749: Traces and meta-co-invariants.

190516-164631: Integrals and antipodes.

190425-174312: The structure of the double.

190402-170336: Double integration (5).

190327-090140: Double integration (4).

190321-155909: Double integration (3).

190321-153551: Double integration (2).

190321-151606: Double integration.

190314-155128: Being 3D, u and v.

190306-155822: KBHs and the DD.

190227-161100: Proof of the zipping formula (2).

190227-153216: Proof of the zipping formula.

190221-180917: Two rings.

190214-173231: Axiomatic zipping.

190207-173044: Proving translation invariance, binding.

190124-165522: Duality in polynomials.

190117-180012: Zipping and Gaussian integration.

190109-184354: The Seifert algorithm and uniqueness.

181207-175224: PD to RVK.

181130-171234: Graphs, tangles, links.

180831-091858: The tensor product of Poisson algebras.

180823-183502: Knotoids.

180823-181251: Rotational virtual knots.

180813-172723: The double.

180803-182933: w and OC.

180803-174242: H-actions and invariance.

180730-183150: The Ig example.

180730-180441: R3 and quasi-triangularity.

180730-173646: Alexander horned intervals (2).

180720-180229: "unitarity", Alexander horned intervals.

180713-183532: Meta-Hopf algebras.

180713-180014: The two labeling doctrines for tangles.

180706-174910: Graphs and associated spaces.

180523-183316: Exponentiation in the 2D Lie algebra.